8.EE.8 Systems of Equations

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The two lines are the same line.

Front

What is the solution to the system of equations represented by the point (-3,-8)?

Back

The solution is (-3,-8).

Front

What system of equations is represented by the graph if it shows the lines y = -x - 2 and y = x + 4?

Back

The system of equations is y = -x - 2 and y = x + 4.

Front

What is the solution to the system of equations y = 3x - 8 and y = 4 - x?

Back

The solution is (3,1).

Front

Which system of equations is represented by the graph if it shows the lines y = -2x + 1 and y = 3x - 4?

Back

The system of equations is y = -2x + 1 and y = 3x - 4.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for two lines to be parallel in a system of equations?

Back

They have no solutions because they never intersect.

Front

How can you determine the solution of a system of equations graphically?

Back

The solution is the point where the two lines intersect.

Front

What is the substitution method in solving systems of equations?

Back

It involves solving one equation for a variable and substituting that value into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

It involves adding or subtracting equations to eliminate a variable.